Operator iteration on the Young inequality

DOI10.1186/s13660-016-1249-zzbMath1353.47014OpenAlexW2552492272WikidataQ59468290 ScholiaQ59468290MaRDI QIDQ347434

Le Li, Hongliang Zuo, Xian He Zhao

Publication date: 30 November 2016

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-016-1249-z

zbMATH Keywords

Young inequalityKantorovich constantarithmetic-geometric meansoperator iteration

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Linear operator inequalities (47A63)

Related Items (4)

A new young type inequality involving Heinz mean ⋮ Some results of Young-type inequalities ⋮ A note on some inequalities for positive linear maps ⋮ Some complementary inequalities to Jensen's operator inequality

Cites Work

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• On the converse Jensen inequality
• Jensen's operator and applications to mean inequalities for operators in Hilbert space
• Zur Theorie der elementaren Mittel
• On Jessen's inequality for convex functions. II
• Means of positive linear operators
• Refinements and reverses of means inequalities for Hilbert space operators
• Improved Young and Heinz inequalities with the Kantorovich constant
• Improved arithmetic-geometric and Heinz means inequalities for Hilbert space operators
• On refined Young inequalities and reverse inequalities
• Refined Young inequality with Kantorovich constant
• Upper bound for spectra of Jensen operator and its application to reverse arithmetic-geometric means

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